General Solution of the Luneberg Lens Problem

@article{Morgan1958GeneralSO,
  title={General Solution of the Luneberg Lens Problem},
  author={Samuel P. Morgan},
  journal={Journal of Applied Physics},
  year={1958},
  volume={29},
  pages={1358-1368}
}
  • S. Morgan
  • Published 1 September 1958
  • Physics
  • Journal of Applied Physics
The general solution is obtained for the index of refraction of a variable‐index, spherical lens which will form perfect geometrical images of the points of two given concentric spheres on each other. One conjugate sphere is assumed to be outside the lens or at its surface, while the other may be either inside, outside, or at the surface. If one of the spheres is of infinite radius, the lens will focus a parallel beam perfectly at a point on the other sphere.It is shown that the index of… 

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THE DIFFICULTY of rapid scanning over the outer surface of a Luneberg lens has led Gutman1 to devise a lens in which the feed moves on a smaller radius. In Gutman's lens the feed horn points toward
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Spherically symmetric optical instruments, and their desirability for microwaves, are discussed. Application of Hamiltonian optics in analyzing the rays in the Luneberg lens has led to formula of a